3t-1=4(t+6)

Solution for 3t-1=4(t+6) equation:

Simplifying
3t + -1 = 4(t + 6)

Reorder the terms:
-1 + 3t = 4(t + 6)

Reorder the terms:
-1 + 3t = 4(6 + t)
-1 + 3t = (6 * 4 + t * 4)
-1 + 3t = (24 + 4t)

Solving
-1 + 3t = 24 + 4t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-4t' to each side of the equation.
-1 + 3t + -4t = 24 + 4t + -4t

Combine like terms: 3t + -4t = -1t
-1 + -1t = 24 + 4t + -4t

Combine like terms: 4t + -4t = 0
-1 + -1t = 24 + 0
-1 + -1t = 24

Add '1' to each side of the equation.
-1 + 1 + -1t = 24 + 1

Combine like terms: -1 + 1 = 0
0 + -1t = 24 + 1
-1t = 24 + 1

Combine like terms: 24 + 1 = 25
-1t = 25

Divide each side by '-1'.
t = -25

Simplifying
t = -25